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2014012 = 2271113503
BaseRepresentation
bin111101011101100111100
310210022201001
413223230330
51003422022
6111100044
723055520
oct7535474
93708631
102014012
111156180
12811624
13556930
143a5d80
1529bb27
hex1ebb3c

2014012 has 48 divisors (see below), whose sum is σ = 4741632. Its totient is φ = 722880.

The previous prime is 2014009. The next prime is 2014013. The reversal of 2014012 is 2104102.

It is a super-2 number, since 2×20140122 = 8112488672288, which contains 22 as substring.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 2014012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3753 + ... + 4255.

It is an arithmetic number, because the mean of its divisors is an integer number (98784).

22014012 is an apocalyptic number.

2014012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370816).

2014012 is an abundant number, since it is smaller than the sum of its proper divisors (2727620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2014012 is a wasteful number, since it uses less digits than its factorization.

2014012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2014012 is about 1419.1589058312. The cubic root of 2014012 is about 126.2856540806.

Adding to 2014012 its reverse (2104102), we get a palindrome (4118114).

The spelling of 2014012 in words is "two million, fourteen thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 503 572 1001 1006 2002 2012 3521 4004 5533 6539 7042 11066 13078 14084 22132 26156 38731 45773 71929 77462 91546 143858 154924 183092 287716 503503 1007006 2014012